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P persons have decided to rent a van to tour while on holidays. The pr
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24 May 2021, 04:03
24 May 2021, 04:03
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P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. If D persons cancel their trip thus failing to pay their share, which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van?
A) Dx
B) x/(P −D)
C) Dx/(P −D)
D) Dx/(P(P −D))
E) x/(P(P −D))
A) Dx
B) x/(P −D)
C) Dx/(P −D)
D) Dx/(P(P −D))
E) x/(P(P −D))
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Re: P persons have decided to rent a van to tour while on holidays. The pr
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24 May 2021, 05:37
24 May 2021, 05:37
Carcass wrote:
P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. If D persons cancel their trip thus failing to pay their share, which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van?
A) Dx
B) x/(P −D)
C) Dx/(P −D)
D) Dx/(P(P −D))
E) x/(P(P −D))
A) Dx
B) x/(P −D)
C) Dx/(P −D)
D) Dx/(P(P −D))
E) x/(P(P −D))
P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share.
ORIGINAL cost per person = (total cost)/(number of people paying) = x/P
D persons cancel their trip thus failing to pay their share
So, now the number of people paying = P - D
REVISED cost per person = TOTAL cost/(number of people paying)
= x/(P - D)
Which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van?
Answer = (REVISED cost per person) - (ORIGINAL cost per person)
= x/(P - D) - x/P
Check the answer choices....not there. It looks like we need to rewrite x/(P - D) - x/P as a single term
Take: x/(P - D) - x/P
Get common denominator: (x)(P)/(P)(P - D) - (x)(P - D)/(P)(P - D)
Expand numerators to get: : (Px)/(P)(P - D) - (Px - Dx)/(P)(P - D)
Combine numerators to get: : [Px - (Px - Dx)]/(P)(P - D)
Simplify numerator to get: : (Dx)/(P)(P - D)
Answer: D
gmatclubot
Re: P persons have decided to rent a van to tour while on holidays. The pr [#permalink]
24 May 2021, 05:37
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